Can someone please help me with this proof?!
1 answer:
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Answer:
The correct option is 1.
Step-by-step explanation:
Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.
In triangle MNO and triangle RTS.
(Given)
(Given)
According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.
Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.
The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.
We need to find mean of given integers.
We have -16,39,-10,-16,12,31.
In order to find mean, we need to add all the given inetgers.
Therefore, putting plus sign in between integers.
-16+ 39+ (-10)+(-16)+12+31 .
We will add all positive number 39+12+31 = 82
We will add all negative numbers by negative numbers, -16-10-16 = -42.
Therefore, -16+ 39+ (-10)+(-16)+12+31 = 82 - 42 = 40.
We have given total 6 integers.
So, in order to find the mean, we need to apply following formula
Mean =
We get,
Mean = 40/6 = 6.66666......
We can round it to 6.67.
Therefore, mean of the given integers = 6.67 (approximately) .